828155664 has 360 divisors, whose sum is σ = 2928681600. Its totient is φ = 226328256.

The previous prime is 828155633. The next prime is 828155681. The reversal of 828155664 is 466551828.

828155664 is a `hidden beast` number, since 8 + 2 + 81 + 5 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36006757 + ... + 36006779.

Almost surely, 2^828155664 is an apocalyptic number.

828155664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828155664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464340800).

828155664 is an abundant number, since it is smaller than the sum of its proper divisors (2100525936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828155664 is an frugal number, since it uses more digits than its factorization.

828155664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 35 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 828155664 is about 28777.6938617395. The cubic root of 828155664 is about 939.0830291288.

The spelling of 828155664 in words is "eight hundred twenty-eight million, one hundred fifty-five thousand, six hundred sixty-four".